Stochastic Thermodynamics and Hierarchy of Fluctuation Theorems with Multiple Reservoirs

Abstract

We reformulate stochastic thermodynamics in terms of noise realizations for Langevin systems in contact with multiple reservoirs and investigated the structure of the second laws of thermodynamics. We derive a hierarchy of fluctuation theorems when one degree of freedom of the system is affected by multiple reservoirs simultaneously, that is, when noise mixing occurs. These theorems and the associated second laws of thermodynamics put stricter bounds on the thermodynamics of Langevin systems. We apply our results to a stochastic machine in noise-mixing environments and demonstrate that our new bounds play a crucial role in determining the potential function and performance of the machine.

arXiv commentexpanded version accepted in New J. Phys

References in corpus (31)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Steady State Thermodynamics of Langevin Systems
• A single-atom heat engine
• Brownian Carnot engine
• Three detailed fluctuation theorems
• The Three Faces of the Second Law: I. Master Equation Formulation
• Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
• The Quantum Absorption Refrigerator
• A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
• The Three Faces of the Second Law: II. Fokker-Planck Formulation
• Integral fluctuation theorem for the housekeeping heat
• Exact microscopic analysis of a thermal Brownian motor
• Entropy production in full phase space for continuous stochastic dynamics
• Work fluctuations for a Brownian particle between two thermostats
• Non-equilibrium thermodynamics of stochastic systems with odd and even variables
• Brownian refrigerator
• Microscopic Engine Powered by Critical Demixing
• Fluctuation theorems in general stochastic processes with odd-parity variables
• Fluctuation Relation for Heat
• Overdamped stochastic thermodynamics with multiple reservoirs
• Carnot efficiency is reachable in an irreversible process
• Joint probability distributions and fluctuation theorems
• Unconventional entropy production in the presence of momentum-dependent forces
• Fluctuation theorems and inequalities generalizing the second law of thermodynamics off equilibrium
• Additivity of multiple heat reservoirs in Langevin equation

Cited by in corpus (4)

• Effects of the non-Markovianity and non-Gaussianity of active environmental noises on engine performance
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Hyperuniformity in active fluids reshapes nucleation and capillary-wave dynamics